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Finding the Fourth Proportional to 8,655.52, 12,983.28 and 2,081.71

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Solution

The fourth proportional to 8,655.52, 12,983.28 and 2,081.71 is: 3,122.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,655.52 : 12,983.28 = 2,081.71 : x
  2. Step 2: Convert to fraction form
    8,655.52/12,983.28 = 2,081.71/x
  3. Step 3: Cross multiply
    8,655.52x = 12,983.28 × 2,081.71
  4. Step 4: Simplify right side
    8,655.52x = 27,027,423.81
  5. Step 5: Solve for x
    x = 27,027,423.81/8,655.52
  6. Step 6: Final answer
    x = 3,122.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.